Why does shortening window widen its Fourier Transform?

1. Why do we do short-time Fourier transform?
2. What is the difference between FFT and STFT?
3. Which transform is also called windowed Fourier transform?
4. What are four important properties of Fourier transform?

Why do we do short-time Fourier transform?

The short-time Fourier transform (STFT) is used to analyze how the frequency content of a nonstationary signal changes over time. The magnitude squared of the STFT is known as the spectrogram time-frequency representation of the signal.

What is the difference between FFT and STFT?

FFT has a resolution of 2048 lines, Blackman window, and 50% overlap and STFT also has Block size 2048, FFT size 16K, Blackman window used, and 50% overlap. As we can see, STFT performs better with the same block size (but more calculated lines). We improved frequency resolution for the same amount of scooped data.

Which transform is also called windowed Fourier transform?

Forward STFT

Given that the STFT is essentially a Fourier transform times a window function, the STFT is also called windowed Fourier transform or time-dependent Fourier transform.

What are four important properties of Fourier transform?

The important properties of Fourier transform are duality, linear transform, modulation property, and Parseval's theorem.